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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
- If x^2+y^2=R^2(w h e r eR >0)a n dk=(y prime prime)/(sqrt((1+yprime^2)...
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- y= tan^(-1)((sqrt(1+x^2)+sqrt(1-x^2))/(sqrt(1+x^2)-sqrt(1-x^2))), wher...
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- Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/...
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- y=tan^(-1)((acosx-bsinx)/(bcosx+asinx)), where -pi/2ltxltpiand a/btanx...
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- If f(9)=9 ,f'(9)=4, underset(xrarr9)"Lt" (sqrt f(x)-3)/(sqrtx-3)=?
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- Find the sum of the series 1+2x+3x^2+....(n-1)x^(n-2) using differenti...
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- If f(x) satisfies the relation f((5x-3y)/2)=(5f(x)-3f(y))/2AAx ,y in...
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- y=4x^2 + e^(3x) find y'
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- Instead of the usual definition of derivative Df(x), if we define a n...
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- Simplify y=tan^(-1)(x/(1+sqrt(1-x^2)))
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- If y=|cosx|+|sinx|,then(dy/dx)"at"x=(2pi)/3 is
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- y=ln x + e^(2x) find y'
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- If g is the inverse function of fa n df^(prime)(x)=sinx ,t h e ng^(pr...
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- Find (dy)/(dx) for the function: y= sin x + ln x
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- If x=varphi(t), y=psi(t),t h e n(d^2 y)/(dx^2) is (a)(varphi^(prime)ps...
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- If y=(1+x)(1+x^2)(1+x^4)...(1+x^(2^n)), then find (dy)/(dx)a tx=0.
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- f(x)=e^x-e^(-x) then find f'(x)
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- Find (dy)/(dx) for the function: y=sqrt(sinsqrt(x))
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- If y=(sqrt(a+x)-sqrt(a-x))/(sqrt(a+x)+sqrt(a-x)),then (dy)/(dx)is eq...
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- Find (dy)/(dx) for the function: y=e^x + cos x
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